Etymology
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ferrule (n.)

"metal cap on a rod," 1610s, ferule, earlier verrel (early 15c.), from Old French virelle "ferrule, collar" (12c. Modern French virole), from Medieval Latin viriola "bracelet," diminutive of Latin viriae "bracelets," from a Gaulish word akin to Old Irish fiar "bent, crooked," from PIE *wi-ria-, from root *wei- "to turn, twist, bend." Spelling influenced by Latin ferrum "iron."

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*wei- 

also weiə-, Proto-Indo-European root meaning "to turn, twist, bend," with derivatives referring to suppleness or binding. 

It forms all or part of: ferrule; garland; iridescence; iridescent; iris; iridium; vise; viticulture; wire; withe; withy.

It is the hypothetical source of/evidence for its existence is provided by: Avestan vaeiti- "osier;" Greek itea "willow," iris "rainbow;" Latin viere "to bend, twist," vitis "vine;" Lithuanian vytis "willow twig;" Old Irish fiar, Welsh gwyr "bent, crooked;" Polish witwa, Welsh gwden "willow," Russian vitvina "branch, bough;" Old English wir "metal drawn out into a fine thread." 

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